10131022111320 has 256 divisors, whose sum is σ = 36886338316800. Its totient is φ = 2452921505280.

The previous prime is 10131022111319. The next prime is 10131022111391. The reversal of 10131022111320 is 2311122013101.

10131022111320 is a `hidden beast` number, since 1 + 0 + 1 + 310 + 2 + 21 + 11 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10131022111293 and 10131022111302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8933367 + ... + 10003353.

It is an arithmetic number, because the mean of its divisors is an integer number (144087259050).

Almost surely, 2^{10131022111320} is an apocalyptic number.

10131022111320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131022111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18443169158400).

10131022111320 is an abundant number, since it is smaller than the sum of its proper divisors (26755316205480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10131022111320 is a wasteful number, since it uses less digits than its factorization.

10131022111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070815 (or 1070805 counting only the distinct ones).

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

Adding to 10131022111320 its reverse (2311122013101), we get a palindrome (12442144124421).

The spelling of 10131022111320 in words is "ten trillion, one hundred thirty-one billion, twenty-two million, one hundred eleven thousand, three hundred twenty".