232020313101000 has 768 divisors, whose sum is σ = 808387796736000. Its totient is φ = 59978850969600.

The previous prime is 232020313100971. The next prime is 232020313101013. The reversal of 232020313101000 is 101313020232.

232020313101000 is a `hidden beast` number, since 2 + 320 + 2 + 0 + 31 + 310 + 1 + 0 + 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 143310878191 + ... + 143310879809.

It is an arithmetic number, because the mean of its divisors is an integer number (1052588277000).

Almost surely, 2^{232020313101000} is an apocalyptic number.

232020313101000 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 232020313101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404193898368000).

232020313101000 is an abundant number, since it is smaller than the sum of its proper divisors (576367483635000).

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

232020313101000 is a wasteful number, since it uses less digits than its factorization.

232020313101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 232020313101000 its reverse (101313020232), we get a palindrome (232121626121232).

The spelling of 232020313101000 in words is "two hundred thirty-two trillion, twenty billion, three hundred thirteen million, one hundred one thousand".