31401431214100 has 72 divisors (see below), whose sum is σ = 71137504330200. Its totient is φ = 12016188172800.

The previous prime is 31401431214061. The next prime is 31401431214103. The reversal of 31401431214100 is 141213410413.

31401431214100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 908372923396 + 30493058290704 = 953086^2 + 5522052^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31401431214103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49353991 + ... + 49986190.

It is an arithmetic number, because the mean of its divisors is an integer number (988020893475).

Almost surely, 2^{31401431214100} is an apocalyptic number.

It is an amenable number.

31401431214100 is an abundant number, since it is smaller than the sum of its proper divisors (39736073116100).

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

31401431214100 is a wasteful number, since it uses less digits than its factorization.

31401431214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99340333 (or 99340326 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 31401431214100 its reverse (141213410413), we get a palindrome (31542644624513).

The spelling of 31401431214100 in words is "thirty-one trillion, four hundred one billion, four hundred thirty-one million, two hundred fourteen thousand, one hundred".