102400434431313 has 24 divisors (see below), whose sum is σ = 139804861650048. Its totient is φ = 66668906015712.

The previous prime is 102400434431311. The next prime is 102400434431353. The reversal of 102400434431313 is 313134434004201.

It is not a de Polignac number, because 102400434431313 - 2¹ = 102400434431311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102400434431311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34041256 + ... + 36927062.

It is an arithmetic number, because the mean of its divisors is an integer number (5825202568752).

Almost surely, 2^{102400434431313} is an apocalyptic number.

It is an amenable number.

102400434431313 is a deficient number, since it is larger than the sum of its proper divisors (37404427218735).

102400434431313 is an equidigital number, since it uses as much as digits as its factorization.

102400434431313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892293 (or 2892250 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 102400434431313 its reverse (313134434004201), we get a palindrome (415534868435514).

The spelling of 102400434431313 in words is "one hundred two trillion, four hundred billion, four hundred thirty-four million, four hundred thirty-one thousand, three hundred thirteen".