10131213104 has 40 divisors (see below), whose sum is σ = 21500588160. Its totient is φ = 4603225088.

The previous prime is 10131213097. The next prime is 10131213151. The reversal of 10131213104 is 40131213101.

10131213104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×10131213104⁴ (a number of 41 digits) contains 4444 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 (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 634304 + ... + 650079.

It is an arithmetic number, because the mean of its divisors is an integer number (537514704).

Almost surely, 2^10131213104 is an apocalyptic number.

It is an amenable number.

10131213104 is an abundant number, since it is smaller than the sum of its proper divisors (11369375056).

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

10131213104 is a wasteful number, since it uses less digits than its factorization.

10131213104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284437 (or 1284431 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10131213104 its reverse (40131213101), we get a palindrome (50262426205).

The spelling of 10131213104 in words is "ten billion, one hundred thirty-one million, two hundred thirteen thousand, one hundred four".