10101313013200 has 60 divisors (see below), whose sum is σ = 24268728770028. Its totient is φ = 4040471219200.

The previous prime is 10101313013191. The next prime is 10101313013219. The reversal of 10101313013200 is 231031310101.

It can be written as a sum of positive squares in 6 ways, for example, as 245405307456 + 9855907705744 = 495384^2 + 3139412^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 44711724 + ... + 44937076.

Almost surely, 2^{10101313013200} is an apocalyptic number.

10101313013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101313013200 is an abundant number, since it is smaller than the sum of its proper divisors (14167415756828).

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

10101313013200 is a wasteful number, since it uses less digits than its factorization.

10101313013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337432 (or 337421 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10101313013200 its reverse (231031310101), we get a palindrome (10332344323301).

The spelling of 10101313013200 in words is "ten trillion, one hundred one billion, three hundred thirteen million, thirteen thousand, two hundred".