10100313132000 has 3072 divisors, whose sum is σ = 44973431193600. Its totient is φ = 1922376499200.

The previous prime is 10100313131977. The next prime is 10100313132043. The reversal of 10100313132000 is 23131300101.

10100313132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 511 ways as a sum of consecutive naturals, for example, 45292883889 + ... + 45292884111.

It is an arithmetic number, because the mean of its divisors is an integer number (14639788800).

Almost surely, 2^{10100313132000} is an apocalyptic number.

10100313132000 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 10100313132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22486715596800).

10100313132000 is an abundant number, since it is smaller than the sum of its proper divisors (34873118061600).

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

10100313132000 is a wasteful number, since it uses less digits than its factorization.

10100313132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10100313132000 its reverse (23131300101), we get a palindrome (10123444432101).

The spelling of 10100313132000 in words is "ten trillion, one hundred billion, three hundred thirteen million, one hundred thirty-two thousand".