13102313222400 has 432 divisors, whose sum is σ = 45820435679424. Its totient is φ = 3285800714240.

The previous prime is 13102313222387. The next prime is 13102313222419. The reversal of 13102313222400 is 422231320131.

13102313222400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13102313222400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426589444 + ... + 426620156.

It is an arithmetic number, because the mean of its divisors is an integer number (106065823332).

Almost surely, 2^{13102313222400} is an apocalyptic number.

13102313222400 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 13102313222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22910217839712).

13102313222400 is an abundant number, since it is smaller than the sum of its proper divisors (32718122457024).

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

13102313222400 is a wasteful number, since it uses less digits than its factorization.

13102313222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32066 (or 32047 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13102313222400 its reverse (422231320131), we get a palindrome (13524544542531).

The spelling of 13102313222400 in words is "thirteen trillion, one hundred two billion, three hundred thirteen million, two hundred twenty-two thousand, four hundred".