130102312301013 has 64 divisors (see below), whose sum is σ = 196375239422208. Its totient is φ = 76077546209280.

The previous prime is 130102312300981. The next prime is 130102312301041. The reversal of 130102312301013 is 310103213201031.

It is a happy number.

It is not a de Polignac number, because 130102312301013 - 2⁵ = 130102312300981 is a prime.

It is a super-2 number, since 2×130102312301013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130102312302013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21591045 + ... + 26951397.

It is an arithmetic number, because the mean of its divisors is an integer number (3068363115972).

Almost surely, 2^{130102312301013} is an apocalyptic number.

130102312301013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130102312301013 is a deficient number, since it is larger than the sum of its proper divisors (66272927121195).

130102312301013 is a wasteful number, since it uses less digits than its factorization.

130102312301013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5360806.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 130102312301013 its reverse (310103213201031), we get a palindrome (440205525502044).

The spelling of 130102312301013 in words is "one hundred thirty trillion, one hundred two billion, three hundred twelve million, three hundred one thousand, thirteen".