10131213010310 has 64 divisors (see below), whose sum is σ = 21409416720000. Its totient is φ = 3450246097536.

The previous prime is 10131213010271. The next prime is 10131213010319. The reversal of 10131213010310 is 1301031213101.

10131213010310 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-2 number, since 2×10131213010310² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131213010319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9400697 + ... + 10422836.

It is an arithmetic number, because the mean of its divisors is an integer number (334522136250).

Almost surely, 2^{10131213010310} is an apocalyptic number.

10131213010310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10131213010310 is an abundant number, since it is smaller than the sum of its proper divisors (11278203709690).

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

10131213010310 is a wasteful number, since it uses less digits than its factorization.

10131213010310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19823710 (or 19823696 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10131213010310 its reverse (1301031213101), we get a palindrome (11432244223411).

The spelling of 10131213010310 in words is "ten trillion, one hundred thirty-one billion, two hundred thirteen million, ten thousand, three hundred ten".