10130213312010 has 128 divisors (see below), whose sum is σ = 29873406769920. Its totient is φ = 2422168012800.

The previous prime is 10130213311997. The next prime is 10130213312017. The reversal of 10130213312010 is 1021331203101.

10130213312010 is a `hidden beast` number, since 1 + 0 + 1 + 302 + 1 + 331 + 20 + 10 = 666.

It is a super-2 number, since 2×10130213312010² (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 not an unprimeable number, because it can be changed into a prime (10130213312017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23145151 + ... + 23578770.

It is an arithmetic number, because the mean of its divisors is an integer number (233385990390).

Almost surely, 2^{10130213312010} is an apocalyptic number.

10130213312010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10130213312010 is an abundant number, since it is smaller than the sum of its proper divisors (19743193457910).

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

10130213312010 is a wasteful number, since it uses less digits than its factorization.

10130213312010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46724021 (or 46724015 counting only the distinct ones).

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

Adding to 10130213312010 its reverse (1021331203101), we get a palindrome (11151544515111).

The spelling of 10130213312010 in words is "ten trillion, one hundred thirty billion, two hundred thirteen million, three hundred twelve thousand, ten".