130122100010331 has 192 divisors, whose sum is σ = 226627232832000. Its totient is φ = 71326497265920.

The previous prime is 130122100010323. The next prime is 130122100010347. The reversal of 130122100010331 is 133010001221031.

130122100010331 is a `hidden beast` number, since 1 + 301 + 2 + 21 + 0 + 0 + 0 + 10 + 331 = 666.

It is not a de Polignac number, because 130122100010331 - 2³ = 130122100010323 is a prime.

It is a super-2 number, since 2×130122100010331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130122100090331) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3939615325 + ... + 3939648353.

It is an arithmetic number, because the mean of its divisors is an integer number (1180350171000).

Almost surely, 2^{130122100010331} is an apocalyptic number.

130122100010331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130122100010331 is a deficient number, since it is larger than the sum of its proper divisors (96505132821669).

130122100010331 is a wasteful number, since it uses less digits than its factorization.

130122100010331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33451 (or 33422 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130122100010331 its reverse (133010001221031), we get a palindrome (263132101231362).

The spelling of 130122100010331 in words is "one hundred thirty trillion, one hundred twenty-two billion, one hundred million, ten thousand, three hundred thirty-one".