10002400131310 has 32 divisors (see below), whose sum is σ = 18257939452800. Its totient is φ = 3944743096320.

The previous prime is 10002400131307. The next prime is 10002400131331. The reversal of 10002400131310 is 1313100420001.

10002400131310 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 2×10002400131310² (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 15 ways as a sum of consecutive naturals, for example, 8368851 + ... + 9489070.

It is an arithmetic number, because the mean of its divisors is an integer number (570560607900).

Almost surely, 2^{10002400131310} is an apocalyptic number.

10002400131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002400131310 is a deficient number, since it is larger than the sum of its proper divisors (8255539321490).

10002400131310 is a wasteful number, since it uses less digits than its factorization.

10002400131310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17858716.

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

Adding to 10002400131310 its reverse (1313100420001), we get a palindrome (11315500551311).

The spelling of 10002400131310 in words is "ten trillion, two billion, four hundred million, one hundred thirty-one thousand, three hundred ten".