231120331101000 has 1920 divisors, whose sum is σ = 905590445760000. Its totient is φ = 54929508480000.

The previous prime is 231120331100999. The next prime is 231120331101061. The reversal of 231120331101000 is 101133021132.

231120331101000 is a `hidden beast` number, since 2 + 311 + 2 + 0 + 331 + 10 + 10 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 138478328166 + ... + 138478329834.

It is an arithmetic number, because the mean of its divisors is an integer number (471661690500).

Almost surely, 2^{231120331101000} is an apocalyptic number.

231120331101000 is a gapful number since it is divisible by the number (20) 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 231120331101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452795222880000).

231120331101000 is an abundant number, since it is smaller than the sum of its proper divisors (674470114659000).

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

231120331101000 is a wasteful number, since it uses less digits than its factorization.

231120331101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1960 counting only the distinct ones).

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

Adding to 231120331101000 its reverse (101133021132), we get a palindrome (231221464122132).

The spelling of 231120331101000 in words is "two hundred thirty-one trillion, one hundred twenty billion, three hundred thirty-one million, one hundred one thousand".