10120001013 has 12 divisors (see below), whose sum is σ = 14974310988. Its totient is φ = 6582114240.

The previous prime is 10120000987. The next prime is 10120001033. The reversal of 10120001013 is 31010002101.

It can be written as a sum of positive squares in 2 ways, for example, as 3117323889 + 7002677124 = 55833^2 + 83682^2 .

It is not a de Polignac number, because 10120001013 - 2⁵ = 10120000981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10120000986 and 10120001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120001033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13712370 + ... + 13713107.

It is an arithmetic number, because the mean of its divisors is an integer number (1247859249).

Almost surely, 2^10120001013 is an apocalyptic number.

It is an amenable number.

10120001013 is a deficient number, since it is larger than the sum of its proper divisors (4854309975).

10120001013 is a wasteful number, since it uses less digits than its factorization.

10120001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27425524 (or 27425521 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10120001013 its reverse (31010002101), we get a palindrome (41130003114).

The spelling of 10120001013 in words is "ten billion, one hundred twenty million, one thousand, thirteen".