103112101313232 has 160 divisors (see below), whose sum is σ = 291136395363840. Its totient is φ = 31187206095360.

The previous prime is 103112101313227. The next prime is 103112101313237. The reversal of 103112101313232 is 232313101211301.

It is an interprime number because it is at equal distance from previous prime (103112101313227) and next prime (103112101313237).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103112101313237) 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, 4776129894 + ... + 4776151482.

It is an arithmetic number, because the mean of its divisors is an integer number (1819602471024).

Almost surely, 2^{103112101313232} is an apocalyptic number.

103112101313232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103112101313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145568197681920).

103112101313232 is an abundant number, since it is smaller than the sum of its proper divisors (188024294050608).

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

103112101313232 is a wasteful number, since it uses less digits than its factorization.

103112101313232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38241 (or 38235 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 103112101313232 its reverse (232313101211301), we get a palindrome (335425202524533).

The spelling of 103112101313232 in words is "one hundred three trillion, one hundred twelve billion, one hundred one million, three hundred thirteen thousand, two hundred thirty-two".