10311434313400 has 72 divisors (see below), whose sum is σ = 26351680025160. Its totient is φ = 3749612468800.

The previous prime is 10311434313379. The next prime is 10311434313407. The reversal of 10311434313400 is 431343411301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311434313407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 213021964 + ... + 213070363.

It is an arithmetic number, because the mean of its divisors is an integer number (365995555905).

Almost surely, 2^{10311434313400} is an apocalyptic number.

10311434313400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10311434313400 is an abundant number, since it is smaller than the sum of its proper divisors (16040245711760).

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

10311434313400 is a wasteful number, since it uses less digits than its factorization.

10311434313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426092365 (or 426092345 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 10311434313400 its reverse (431343411301), we get a palindrome (10742777724701).

The spelling of 10311434313400 in words is "ten trillion, three hundred eleven billion, four hundred thirty-four million, three hundred thirteen thousand, four hundred".