10213101131310 has 192 divisors, whose sum is σ = 34848804856320. Its totient is φ = 2010507920640.

The previous prime is 10213101131251. The next prime is 10213101131323. The reversal of 10213101131310 is 1313110131201.

10213101131310 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 310 + 11 + 31 + 310 = 666.

10213101131310 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 2×10213101131310² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 38651277 + ... + 38914616.

It is an arithmetic number, because the mean of its divisors is an integer number (181504191960).

Almost surely, 2^{10213101131310} is an apocalyptic number.

10213101131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10213101131310 is an abundant number, since it is smaller than the sum of its proper divisors (24635703725010).

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

10213101131310 is a wasteful number, since it uses less digits than its factorization.

10213101131310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77565943 (or 77565940 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10213101131310 its reverse (1313110131201), we get a palindrome (11526211262511).

The spelling of 10213101131310 in words is "ten trillion, two hundred thirteen billion, one hundred one million, one hundred thirty-one thousand, three hundred ten".