103133731192128 has 672 divisors, whose sum is σ = 369696262790400. Its totient is φ = 26765229883392.

The previous prime is 103133731192043. The next prime is 103133731192153. The reversal of 103133731192128 is 821291137331301.

103133731192128 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 337 + 3 + 1 + 192 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×103133731192128² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 823235478 + ... + 823360746.

It is an arithmetic number, because the mean of its divisors is an integer number (550143248200).

Almost surely, 2^{103133731192128} is an apocalyptic number.

103133731192128 is a gapful number since it is divisible by the number (18) 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 103133731192128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184848131395200).

103133731192128 is an abundant number, since it is smaller than the sum of its proper divisors (266562531598272).

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

103133731192128 is a wasteful number, since it uses less digits than its factorization.

103133731192128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125559 (or 125546 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 103133731192128 in words is "one hundred three trillion, one hundred thirty-three billion, seven hundred thirty-one million, one hundred ninety-two thousand, one hundred twenty-eight".