101111331000 has 128 divisors (see below), whose sum is σ = 332071084800. Its totient is φ = 25543900800.

The previous prime is 101111330977. The next prime is 101111331017. The reversal of 101111331000 is 133111101.

It is a super-2 number, since 2×101111331000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 829942 + ... + 943941.

It is an arithmetic number, because the mean of its divisors is an integer number (2594305350).

Almost surely, 2^101111331000 is an apocalyptic number.

101111331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111331000 is an abundant number, since it is smaller than the sum of its proper divisors (230959753800).

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

101111331000 is a wasteful number, since it uses less digits than its factorization.

101111331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773926 (or 1773912 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 101111331000 its reverse (133111101), we get a palindrome (101244442101).

The spelling of 101111331000 in words is "one hundred one billion, one hundred eleven million, three hundred thirty-one thousand".