100310132000 has 384 divisors, whose sum is σ = 286469846208. Its totient is φ = 34185216000.

The previous prime is 100310131937. The next prime is 100310132057. The reversal of 100310132000 is 231013001.

It can be written as a sum of positive squares in 32 ways, for example, as 6348264976 + 93961867024 = 79676^2 + 306532^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46850930 + ... + 46853070.

Almost surely, 2^100310132000 is an apocalyptic number.

100310132000 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 100310132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143234923104).

100310132000 is an abundant number, since it is smaller than the sum of its proper divisors (186159714208).

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

100310132000 is a wasteful number, since it uses less digits than its factorization.

100310132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100310132000 its reverse (231013001), we get a palindrome (100541145001).

The spelling of 100310132000 in words is "one hundred billion, three hundred ten million, one hundred thirty-two thousand".