101011312310130 has 64 divisors (see below), whose sum is σ = 269507468505600. Its totient is φ = 26921953048320.

The previous prime is 101011312310057. The next prime is 101011312310173. The reversal of 101011312310130 is 31013213110101.

101011312310130 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 11 + 312 + 310 + 1 + 30 = 666.

It is a super-2 number, since 2×101011312310130² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99472375 + ... + 100482714.

It is an arithmetic number, because the mean of its divisors is an integer number (4211054195400).

Almost surely, 2^{101011312310130} is an apocalyptic number.

101011312310130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101011312310130 is an abundant number, since it is smaller than the sum of its proper divisors (168496156195470).

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

101011312310130 is a wasteful number, since it uses less digits than its factorization.

101011312310130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199956976 (or 199956970 counting only the distinct ones).

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

Adding to 101011312310130 its reverse (31013213110101), we get a palindrome (132024525420231).

The spelling of 101011312310130 in words is "one hundred one trillion, eleven billion, three hundred twelve million, three hundred ten thousand, one hundred thirty".