103312013130 has 96 divisors (see below), whose sum is σ = 273693625920. Its totient is φ = 27030412800.

The previous prime is 103312013117. The next prime is 103312013137. The reversal of 103312013130 is 31310213301.

It is a happy number.

103312013130 is a `hidden beast` number, since 1 + 0 + 331 + 20 + 1 + 313 + 0 = 666.

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 (103312013137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2758530 + ... + 2795730.

It is an arithmetic number, because the mean of its divisors is an integer number (2850975270).

Almost surely, 2^103312013130 is an apocalyptic number.

103312013130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103312013130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136846812960).

103312013130 is an abundant number, since it is smaller than the sum of its proper divisors (170381612790).

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

103312013130 is a wasteful number, since it uses less digits than its factorization.

103312013130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37796 (or 37793 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103312013130 its reverse (31310213301), we get a palindrome (134622226431).

The spelling of 103312013130 in words is "one hundred three billion, three hundred twelve million, thirteen thousand, one hundred thirty".