3101010101013 has 24 divisors (see below), whose sum is σ = 4742328072384. Its totient is φ = 1797687010240.

The previous prime is 3101010100973. The next prime is 3101010101053.

3101010101013 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (3101010100973) and next prime (3101010101053).

It is not a de Polignac number, because 3101010101013 - 2¹⁰ = 3101010099989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3101010101013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3101010101053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185703120 + ... + 185719817.

It is an arithmetic number, because the mean of its divisors is an integer number (197597003016).

Almost surely, 2^{3101010101013} is an apocalyptic number.

3101010101013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3101010101013 is a deficient number, since it is larger than the sum of its proper divisors (1641317971371).

3101010101013 is a wasteful number, since it uses less digits than its factorization.

3101010101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371422985 (or 371422974 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

It can be divided in two parts, 3101010 and 101013, that added together give a palindrome (3202023).

The spelling of 3101010101013 in words is "three trillion, one hundred one billion, ten million, one hundred one thousand, thirteen".