103113014002992 has 240 divisors, whose sum is σ = 331505539073280. Its totient is φ = 29308354564608.

The previous prime is 103113014002967. The next prime is 103113014003081. The reversal of 103113014002992 is 299200410311301.

It is a happy number.

103113014002992 is a `hidden beast` number, since 1 + 0 + 31 + 130 + 1 + 400 + 2 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2632899603 + ... + 2632938765.

It is an arithmetic number, because the mean of its divisors is an integer number (1381273079472).

Almost surely, 2^{103113014002992} is an apocalyptic number.

103113014002992 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 103113014002992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165752769536640).

103113014002992 is an abundant number, since it is smaller than the sum of its proper divisors (228392525070288).

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

103113014002992 is a wasteful number, since it uses less digits than its factorization.

103113014002992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52640 (or 52631 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 103113014002992 in words is "one hundred three trillion, one hundred thirteen billion, fourteen million, two thousand, nine hundred ninety-two".