431213311013200 has 60 divisors (see below), whose sum is σ = 1036633853213980. Its totient is φ = 172378123822080.

The previous prime is 431213311013189. The next prime is 431213311013263. The reversal of 431213311013200 is 2310113312134.

It can be written as a sum of positive squares in 6 ways, for example, as 21787871391504 + 409425439621696 = 4667748^2 + 20234264^2 .

It is a super-3 number, since 3×431213311013200³ (a number of 45 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334357419 + ... + 335644618.

Almost surely, 2^{431213311013200} is an apocalyptic number.

431213311013200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431213311013200 is an abundant number, since it is smaller than the sum of its proper divisors (605420542200780).

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

431213311013200 is a wasteful number, since it uses less digits than its factorization.

431213311013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670003664 (or 670003653 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 431213311013200 its reverse (2310113312134), we get a palindrome (433523424325334).

The spelling of 431213311013200 in words is "four hundred thirty-one trillion, two hundred thirteen billion, three hundred eleven million, thirteen thousand, two hundred".