102315013002 has 64 divisors (see below), whose sum is σ = 233323009920. Its totient is φ = 33214492800.

The previous prime is 102315012983. The next prime is 102315013007. The reversal of 102315013002 is 200310513201.

102315013002 is a `hidden beast` number, since 102 + 31 + 501 + 30 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102315013007) 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, 1223728 + ... + 1304660.

It is an arithmetic number, because the mean of its divisors is an integer number (3645672030).

Almost surely, 2^102315013002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102315013002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116661504960).

102315013002 is an abundant number, since it is smaller than the sum of its proper divisors (131007996918).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102315013002 is a wasteful number, since it uses less digits than its factorization.

102315013002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81556 (or 81550 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 102315013002 its reverse (200310513201), we get a palindrome (302625526203).

The spelling of 102315013002 in words is "one hundred two billion, three hundred fifteen million, thirteen thousand, two".