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131313332001 = 3376011968391
BaseRepresentation
bin111101001001011100…
…0100110111100100001
3110112221110012102102210
41322102320212330201
54122412203111001
6140154032232333
712326031622425
oct1722270467441
9415843172383
10131313332001
1150764a52985
122154869b6a9
13c4c8cc9b67
1464d9a9ab85
1536382d8dd6
hex1e92e26f21

131313332001 has 16 divisors (see below), whose sum is σ = 180115741568. Its totient is φ = 85034448000.

The previous prime is 131313331993. The next prime is 131313332023. The reversal of 131313332001 is 100233313131.

It is not a de Polignac number, because 131313332001 - 23 = 131313331993 is a prime.

It is a super-2 number, since 2×1313133320012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131313332041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 917485 + ... + 1050906.

It is an arithmetic number, because the mean of its divisors is an integer number (11257233848).

Almost surely, 2131313332001 is an apocalyptic number.

It is an amenable number.

131313332001 is a deficient number, since it is larger than the sum of its proper divisors (48802409567).

131313332001 is a wasteful number, since it uses less digits than its factorization.

131313332001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969032.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 131313332001 its reverse (100233313131), we get a palindrome (231546645132).

The spelling of 131313332001 in words is "one hundred thirty-one billion, three hundred thirteen million, three hundred thirty-two thousand, one".

Divisors: 1 3 37 111 601 1803 22237 66711 1968391 5905173 72830467 218491401 1183002991 3549008973 43771110667 131313332001