103012000313313 has 64 divisors (see below), whose sum is σ = 172242205470720. Its totient is φ = 53308521646848.

The previous prime is 103012000313303. The next prime is 103012000313317. The reversal of 103012000313313 is 313313000210301.

It is not a de Polignac number, because 103012000313313 - 2⁹ = 103012000312801 is a prime.

It is a super-2 number, since 2×103012000313313² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 103012000313313.

It is not an unprimeable number, because it can be changed into a prime (103012000313317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 370889748 + ... + 371167386.

It is an arithmetic number, because the mean of its divisors is an integer number (2691284460480).

Almost surely, 2^{103012000313313} is an apocalyptic number.

103012000313313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103012000313313 is a deficient number, since it is larger than the sum of its proper divisors (69230205157407).

103012000313313 is a wasteful number, since it uses less digits than its factorization.

103012000313313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303358.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 103012000313313 its reverse (313313000210301), we get a palindrome (416325000523614).

The spelling of 103012000313313 in words is "one hundred three trillion, twelve billion, three hundred thirteen thousand, three hundred thirteen".