130001950013 has 8 divisors (see below), whose sum is σ = 140313915000. Its totient is φ = 119734530048.

The previous prime is 130001949971. The next prime is 130001950079. The reversal of 130001950013 is 310059100031.

It can be written as a sum of positive squares in 4 ways, for example, as 2779187524 + 127222762489 = 52718^2 + 356683^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 130001950013 - 2³⁶ = 61282473277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130001950093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11130188 + ... + 11141861.

It is an arithmetic number, because the mean of its divisors is an integer number (17539239375).

Almost surely, 2^130001950013 is an apocalyptic number.

130001950013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130001950013 is a deficient number, since it is larger than the sum of its proper divisors (10311964987).

130001950013 is a wasteful number, since it uses less digits than its factorization.

130001950013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22272511.

The product of its (nonzero) digits is 405, while the sum is 23.

The spelling of 130001950013 in words is "one hundred thirty billion, one million, nine hundred fifty thousand, thirteen".