102001030013 has 32 divisors (see below), whose sum is σ = 114052030560. Its totient is φ = 90773544960.

The previous prime is 102001029967. The next prime is 102001030031. The reversal of 102001030013 is 310030100201.

It can be written as a sum of positive squares in 16 ways, for example, as 60581453689 + 41419576324 = 246133^2 + 203518^2 .

It is not a de Polignac number, because 102001030013 - 2¹⁴ = 102001013629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102001029976 and 102001030003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001030063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6999731 + ... + 7014287.

It is an arithmetic number, because the mean of its divisors is an integer number (3564125955).

Almost surely, 2^102001030013 is an apocalyptic number.

It is an amenable number.

102001030013 is a deficient number, since it is larger than the sum of its proper divisors (12051000547).

102001030013 is a wasteful number, since it uses less digits than its factorization.

102001030013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14897.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 102001030013 its reverse (310030100201), we get a palindrome (412031130214).

The spelling of 102001030013 in words is "one hundred two billion, one million, thirty thousand, thirteen".