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131010401333021 = 7271743274133911
BaseRepresentation
bin11101110010011100111100…
…011011101110111100011101
3122011212110202010101011210012
4131302130330123232330131
5114132433300220124041
61142345203021053005
736411121606265540
oct3562347433567435
9564773663334705
10131010401333021
1138820221133611
121283a83a3b7165
1358142c6728442
14244cd19b98857
151022d340463eb
hex77273c6eef1d

131010401333021 has 32 divisors (see below), whose sum is σ = 150540266520576. Its totient is φ = 111685623336000.

The previous prime is 131010401332957. The next prime is 131010401333023. The reversal of 131010401333021 is 120333104010131.

It is not a de Polignac number, because 131010401333021 - 26 = 131010401332957 is a prime.

It is a super-2 number, since 2×1310104013330212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010401333023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3863343056 + ... + 3863376966.

It is an arithmetic number, because the mean of its divisors is an integer number (4704383328768).

Almost surely, 2131010401333021 is an apocalyptic number.

It is an amenable number.

131010401333021 is a deficient number, since it is larger than the sum of its proper divisors (19529865187555).

131010401333021 is a wasteful number, since it uses less digits than its factorization.

131010401333021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37673.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 131010401333021 its reverse (120333104010131), we get a palindrome (251343505343152).

The spelling of 131010401333021 in words is "one hundred thirty-one trillion, ten billion, four hundred one million, three hundred thirty-three thousand, twenty-one".

Divisors: 1 7 271 743 1897 2741 5201 19187 33911 201353 237377 742811 1409471 2036563 5199677 9189881 14255941 25195873 64329167 92950051 176371111 551908573 650650357 3863360011 6828081583 25189463821 47796571081 69061887893 176326246747 483433215251 18715771619003 131010401333021