100333131000 has 128 divisors (see below), whose sum is σ = 313307991360. Its totient is φ = 26732544000.

The previous prime is 100333130993. The next prime is 100333131013. The reversal of 100333131000 is 131333001.

It is a super-2 number, since 2×100333131000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3637260 + ... + 3664740.

Almost surely, 2^100333131000 is an apocalyptic number.

100333131000 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 100333131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156653995680).

100333131000 is an abundant number, since it is smaller than the sum of its proper divisors (212974860360).

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

100333131000 is a wasteful number, since it uses less digits than its factorization.

100333131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28722 (or 28708 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 100333131000 its reverse (131333001), we get a palindrome (100464464001).

The spelling of 100333131000 in words is "one hundred billion, three hundred thirty-three million, one hundred thirty-one thousand".