131021022131000 has 128 divisors (see below), whose sum is σ = 308728418544000. Its totient is φ = 52042915123200.

The previous prime is 131021022130997. The next prime is 131021022131009. The reversal of 131021022131000 is 131220120131.

It is a super-2 number, since 2×131021022131000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131021022131000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131021022131009) 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, 573088712 + ... + 573317288.

It is an arithmetic number, because the mean of its divisors is an integer number (2411940769875).

Almost surely, 2^{131021022131000} is an apocalyptic number.

131021022131000 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 131021022131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154364209272000).

131021022131000 is an abundant number, since it is smaller than the sum of its proper divisors (177707396413000).

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

131021022131000 is a wasteful number, since it uses less digits than its factorization.

131021022131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232594 (or 232580 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 131021022131000 its reverse (131220120131), we get a palindrome (131152242251131).

The spelling of 131021022131000 in words is "one hundred thirty-one trillion, twenty-one billion, twenty-two million, one hundred thirty-one thousand".