10313021012100 has 36 divisors (see below), whose sum is σ = 29839007462544. Its totient is φ = 2750138936480.

The previous prime is 10313021012089. The next prime is 10313021012111. The reversal of 10313021012100 is 121012031301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10313021012089) and next prime (10313021012111).

It is a super-3 number, since 3×10313021012100³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10313021012100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17188368054 + ... + 17188368653.

It is an arithmetic number, because the mean of its divisors is an integer number (828861318404).

Almost surely, 2^{10313021012100} is an apocalyptic number.

10313021012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10313021012100 is an abundant number, since it is smaller than the sum of its proper divisors (19525986450444).

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

10313021012100 is a wasteful number, since it uses less digits than its factorization.

10313021012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34376736724 (or 34376736717 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10313021012100 its reverse (121012031301), we get a palindrome (10434033043401).

It can be divided in two parts, 1031302 and 1012100, that added together give a palindrome (2043402).

The spelling of 10313021012100 in words is "ten trillion, three hundred thirteen billion, twenty-one million, twelve thousand, one hundred".