103100033013120 has 768 divisors, whose sum is σ = 418340941462080. Its totient is φ = 23066766213120.

The previous prime is 103100033013113. The next prime is 103100033013127. The reversal of 103100033013120 is 21310330001301.

It is a happy number.

103100033013120 is a `hidden beast` number, since 1 + 0 + 310 + 0 + 0 + 3 + 301 + 31 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (103100033013113) and next prime (103100033013127).

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

It is a junction number, because it is equal to n+sod(n) for n = 103100033013093 and 103100033013102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103100033013127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5812700892 + ... + 5812718628.

Almost surely, 2^{103100033013120} is an apocalyptic number.

103100033013120 is a gapful number since it is divisible by the number (10) 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 103100033013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209170470731040).

103100033013120 is an abundant number, since it is smaller than the sum of its proper divisors (315240908448960).

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

103100033013120 is a wasteful number, since it uses less digits than its factorization.

103100033013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24843 (or 24828 counting only the distinct ones).

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

Adding to 103100033013120 its reverse (21310330001301), we get a palindrome (124410363014421).

The spelling of 103100033013120 in words is "one hundred three trillion, one hundred billion, thirty-three million, thirteen thousand, one hundred twenty".