103100033013012 has 216 divisors, whose sum is σ = 304447793045760. Its totient is φ = 29332597109760.

The previous prime is 103100033012971. The next prime is 103100033013031. The reversal of 103100033013012 is 210310330001301.

It is a happy number.

103100033013012 is a `hidden beast` number, since 1 + 0 + 31 + 0 + 0 + 0 + 330 + 1 + 301 + 2 = 666.

It is a super-2 number, since 2×103100033013012² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 394463812 + ... + 394725092.

It is an arithmetic number, because the mean of its divisors is an integer number (1409480523360).

Almost surely, 2^{103100033013012} is an apocalyptic number.

103100033013012 is a gapful number since it is divisible by the number (12) 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 103100033013012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152223896522880).

103100033013012 is an abundant number, since it is smaller than the sum of its proper divisors (201347760032748).

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

103100033013012 is a wasteful number, since it uses less digits than its factorization.

103100033013012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262251 (or 262239 counting only the distinct ones).

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

Adding to 103100033013012 its reverse (210310330001301), we get a palindrome (313410363014313).

The spelling of 103100033013012 in words is "one hundred three trillion, one hundred billion, thirty-three million, thirteen thousand, twelve".