103013121010000 has 100 divisors (see below), whose sum is σ = 251199351726400. Its totient is φ = 40908807216000.

The previous prime is 103013121009989. The next prime is 103013121010021. The reversal of 103013121010000 is 10121310301.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×103013121010000² (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 19 ways as a sum of consecutive naturals, for example, 35665080 + ... + 38445079.

It is an arithmetic number, because the mean of its divisors is an integer number (2511993517264).

Almost surely, 2^{103013121010000} is an apocalyptic number.

103013121010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103013121010000 is an abundant number, since it is smaller than the sum of its proper divisors (148186230716400).

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

103013121010000 is an equidigital number, since it uses as much as digits as its factorization.

103013121010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74110326 (or 74110305 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 103013121010000 its reverse (10121310301), we get a palindrome (103023242320301).

The spelling of 103013121010000 in words is "one hundred three trillion, thirteen billion, one hundred twenty-one million, ten thousand".