103011020012313 has 96 divisors (see below), whose sum is σ = 187505851881600. Its totient is φ = 55575034768512.

The previous prime is 103011020012267. The next prime is 103011020012393. The reversal of 103011020012313 is 313210020110301.

103011020012313 is a `hidden beast` number, since 1 + 0 + 30 + 110 + 200 + 12 + 313 = 666.

It is not a de Polignac number, because 103011020012313 - 2⁸ = 103011020012057 is a prime.

It is a super-3 number, since 3×103011020012313³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (103011020012393) 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, 371995 + ... + 14358287.

It is an arithmetic number, because the mean of its divisors is an integer number (1953185957100).

Almost surely, 2^{103011020012313} is an apocalyptic number.

It is an amenable number.

103011020012313 is a deficient number, since it is larger than the sum of its proper divisors (84494831869287).

103011020012313 is a wasteful number, since it uses less digits than its factorization.

103011020012313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13986628 (or 13986615 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103011020012313 its reverse (313210020110301), we get a palindrome (416221040122614).

The spelling of 103011020012313 in words is "one hundred three trillion, eleven billion, twenty million, twelve thousand, three hundred thirteen".