131023011100000 has 144 divisors (see below), whose sum is σ = 322527052260000. Its totient is φ = 52391608960000.

The previous prime is 131023011099899. The next prime is 131023011100057. The reversal of 131023011100000 is 1110320131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299681556 + ... + 300118444.

It is an arithmetic number, because the mean of its divisors is an integer number (2239771196250).

Almost surely, 2^{131023011100000} is an apocalyptic number.

131023011100000 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 131023011100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161263526130000).

131023011100000 is an abundant number, since it is smaller than the sum of its proper divisors (191504041160000).

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

131023011100000 is an frugal number, since it uses more digits than its factorization.

131023011100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439923 (or 439895 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 131023011100000 its reverse (1110320131), we get a palindrome (131024121420131).

The spelling of 131023011100000 in words is "one hundred thirty-one trillion, twenty-three billion, eleven million, one hundred thousand".