102413311000 has 768 divisors, whose sum is σ = 331277506560. Its totient is φ = 28828800000.

The previous prime is 102413310947. The next prime is 102413311009. The reversal of 102413311000 is 113314201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102413311009) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 781780935 + ... + 781781065.

It is an arithmetic number, because the mean of its divisors is an integer number (431350920).

Almost surely, 2^102413311000 is an apocalyptic number.

102413311000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102413311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165638753280).

102413311000 is an abundant number, since it is smaller than the sum of its proper divisors (228864195560).

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

102413311000 is a wasteful number, since it uses less digits than its factorization.

102413311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102413311000 its reverse (113314201), we get a palindrome (102526625201).

The spelling of 102413311000 in words is "one hundred two billion, four hundred thirteen million, three hundred eleven thousand".