103131190313424 has 320 divisors, whose sum is σ = 385769764154880. Its totient is φ = 25599467888640.

The previous prime is 103131190313401. The next prime is 103131190313453. The reversal of 103131190313424 is 424313091131301.

103131190313424 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 31 + 190 + 3 + 13 + 424 = 666.

103131190313424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76490587 + ... + 77827194.

It is an arithmetic number, because the mean of its divisors is an integer number (1205530512984).

Almost surely, 2^{103131190313424} is an apocalyptic number.

103131190313424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103131190313424 is an abundant number, since it is smaller than the sum of its proper divisors (282638573841456).

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

103131190313424 is a wasteful number, since it uses less digits than its factorization.

103131190313424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154317835 (or 154317823 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 103131190313424 in words is "one hundred three trillion, one hundred thirty-one billion, one hundred ninety million, three hundred thirteen thousand, four hundred twenty-four".