10131021213300 has 576 divisors, whose sum is σ = 35376348268800. Its totient is φ = 2472394752000.

The previous prime is 10131021213283. The next prime is 10131021213319. The reversal of 10131021213300 is 331212013101.

10131021213300 is a `hidden beast` number, since 1 + 0 + 1 + 310 + 2 + 1 + 21 + 330 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6327932500 + ... + 6327934100.

It is an arithmetic number, because the mean of its divisors is an integer number (61417271300).

Almost surely, 2^{10131021213300} is an apocalyptic number.

10131021213300 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 10131021213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17688174134400).

10131021213300 is an abundant number, since it is smaller than the sum of its proper divisors (25245327055500).

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

10131021213300 is a wasteful number, since it uses less digits than its factorization.

10131021213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10131021213300 its reverse (331212013101), we get a palindrome (10462233226401).

The spelling of 10131021213300 in words is "ten trillion, one hundred thirty-one billion, twenty-one million, two hundred thirteen thousand, three hundred".