13402310000 has 200 divisors, whose sum is σ = 33432098304. Its totient is φ = 5201280000.

The previous prime is 13402309993. The next prime is 13402310021. The reversal of 13402310000 is 1320431.

13402310000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×13402310000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 77469914 + ... + 77470086.

Almost surely, 2^13402310000 is an apocalyptic number.

13402310000 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 13402310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16716049152).

13402310000 is an abundant number, since it is smaller than the sum of its proper divisors (20029788304).

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

13402310000 is a wasteful number, since it uses less digits than its factorization.

13402310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13402310000 its reverse (1320431), we get a palindrome (13403630431).

The spelling of 13402310000 in words is "thirteen billion, four hundred two million, three hundred ten thousand".