103031021113128 has 96 divisors (see below), whose sum is σ = 280670672379240. Its totient is φ = 34143286394880.

The previous prime is 103031021113127. The next prime is 103031021113177. The reversal of 103031021113128 is 821311120130301.

103031021113128 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 310 + 21 + 11 + 312 + 8 = 666.

103031021113128 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 58352518209924 + 44678502903204 = 7638882^2 + 6684198^2 .

It is a super-2 number, since 2×103031021113128² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103031021113127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237356448 + ... + 237790128.

Almost surely, 2^{103031021113128} is an apocalyptic number.

103031021113128 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 103031021113128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140335336189620).

103031021113128 is an abundant number, since it is smaller than the sum of its proper divisors (177639651266112).

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

103031021113128 is a wasteful number, since it uses less digits than its factorization.

103031021113128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452939 (or 452932 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 103031021113128 its reverse (821311120130301), we get a palindrome (924342141243429).

The spelling of 103031021113128 in words is "one hundred three trillion, thirty-one billion, twenty-one million, one hundred thirteen thousand, one hundred twenty-eight".