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131141403101001 = 31937227443618349
BaseRepresentation
bin11101110100010110111100…
…101111110100011101001001
3122012022222212212022111201210
4131310112330233310131021
5114142110043143213001
61142525310123403333
736423440136036336
oct3564267457643511
9565288785274653
10131141403101001
1138870836223867
12128600ba683549
135823773008a97
1424553c631198d
15102644ecd9dd6
hex7745bcbf4749

131141403101001 has 64 divisors (see below), whose sum is σ = 190294293888000. Its totient is φ = 80051351867136.

The previous prime is 131141403100999. The next prime is 131141403101069. The reversal of 131141403101001 is 100101304141131.

It is not a de Polignac number, because 131141403101001 - 21 = 131141403100999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131141403101201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211773975 + ... + 212392323.

It is an arithmetic number, because the mean of its divisors is an integer number (2973348342000).

Almost surely, 2131141403101001 is an apocalyptic number.

It is an amenable number.

131141403101001 is a deficient number, since it is larger than the sum of its proper divisors (59152890786999).

131141403101001 is a wasteful number, since it uses less digits than its factorization.

131141403101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619078.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 131141403101001 its reverse (100101304141131), we get a palindrome (231242707242132).

The spelling of 131141403101001 in words is "one hundred thirty-one trillion, one hundred forty-one billion, four hundred three million, one hundred one thousand, one".

Divisors: 1 3 19 37 57 111 227 443 681 703 1329 2109 4313 8399 8417 12939 16391 25197 25251 49173 100561 159581 301683 311429 478743 618349 934287 1855047 1910659 3720757 5731977 11162271 11748631 22878913 35245893 68636739 70694383 140365223 212083149 273928607 421095669 434699347 821785821 1304098041 2666939237 5193513251 5204643533 8000817711 10135358459 15580539753 15613930599 30406075377 62181793789 98676751769 186545381367 192571810721 296030255307 577715432163 1181454081991 2300726370193 3544362245973 6902179110579 43713801033667 131141403101001