102413001024 has 112 divisors (see below), whose sum is σ = 301423019200. Its totient is φ = 34098236928.

The previous prime is 102413001017. The next prime is 102413001037. The reversal of 102413001024 is 420100314201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102413000988 and 102413001006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1481667 + ... + 1549245.

Almost surely, 2^102413001024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102413001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150711509600).

102413001024 is an abundant number, since it is smaller than the sum of its proper divisors (199010018176).

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

102413001024 is an equidigital number, since it uses as much as digits as its factorization.

102413001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68477 (or 68461 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102413001024 its reverse (420100314201), we get a palindrome (522513315225).

The spelling of 102413001024 in words is "one hundred two billion, four hundred thirteen million, one thousand, twenty-four".