10131022201311 has 64 divisors (see below), whose sum is σ = 16784340249600. Its totient is φ = 5986106841600.

The previous prime is 10131022201301. The next prime is 10131022201351. The reversal of 10131022201311 is 11310222013101.

10131022201311 is a `hidden beast` number, since 1 + 0 + 1 + 310 + 2 + 220 + 131 + 1 = 666.

It is not a de Polignac number, because 10131022201311 - 2²⁷ = 10130887983583 is a prime.

It is a super-2 number, since 2×10131022201311² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131022201301) 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, 17332635 + ... + 17907603.

It is an arithmetic number, because the mean of its divisors is an integer number (262255316400).

Almost surely, 2^{10131022201311} is an apocalyptic number.

10131022201311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10131022201311 is a deficient number, since it is larger than the sum of its proper divisors (6653318048289).

10131022201311 is a wasteful number, since it uses less digits than its factorization.

10131022201311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576477 (or 576471 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10131022201311 its reverse (11310222013101), we get a palindrome (21441244214412).

The spelling of 10131022201311 in words is "ten trillion, one hundred thirty-one billion, twenty-two million, two hundred one thousand, three hundred eleven".