103311031032000 has 336 divisors, whose sum is σ = 403157213825184. Its totient is φ = 25045098240000.

The previous prime is 103311031031969. The next prime is 103311031032059. The reversal of 103311031032000 is 230130113301.

It is a happy number.

103311031032000 is a `hidden beast` number, since 1 + 0 + 3 + 31 + 1 + 0 + 310 + 320 + 0 + 0 = 666.

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

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, 64429611 + ... + 66013610.

It is an arithmetic number, because the mean of its divisors is an integer number (1199872660194).

Almost surely, 2^{103311031032000} is an apocalyptic number.

103311031032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103311031032000 is an abundant number, since it is smaller than the sum of its proper divisors (299846182793184).

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

103311031032000 is a wasteful number, since it uses less digits than its factorization.

103311031032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130443265 (or 130443242 counting only the distinct ones).

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

Adding to 103311031032000 its reverse (230130113301), we get a palindrome (103541161145301).

The spelling of 103311031032000 in words is "one hundred three trillion, three hundred eleven billion, thirty-one million, thirty-two thousand".