10413402401310 has 256 divisors, whose sum is σ = 26868366102528. Its totient is φ = 2573835264000.

The previous prime is 10413402401309. The next prime is 10413402401321. The reversal of 10413402401310 is 1310420431401.

10413402401310 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 2×10413402401310² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7991866119 + ... + 7991867421.

It is an arithmetic number, because the mean of its divisors is an integer number (104954555088).

Almost surely, 2^{10413402401310} is an apocalyptic number.

10413402401310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10413402401310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13434183051264).

10413402401310 is an abundant number, since it is smaller than the sum of its proper divisors (16454963701218).

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

10413402401310 is a wasteful number, since it uses less digits than its factorization.

10413402401310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10413402401310 its reverse (1310420431401), we get a palindrome (11723822832711).

The spelling of 10413402401310 in words is "ten trillion, four hundred thirteen billion, four hundred two million, four hundred one thousand, three hundred ten".