1031431513200 has 480 divisors, whose sum is σ = 3798448169472. Its totient is φ = 236797440000.

The previous prime is 1031431513169. The next prime is 1031431513243. The reversal of 1031431513200 is 23151341301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30646782 + ... + 30680418.

Almost surely, 2^{1031431513200} is an apocalyptic number.

1031431513200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031431513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899224084736).

1031431513200 is an abundant number, since it is smaller than the sum of its proper divisors (2767016656272).

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

1031431513200 is a wasteful number, since it uses less digits than its factorization.

1031431513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33793 (or 33782 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 1031431513200 its reverse (23151341301), we get a palindrome (1054582854501).

The spelling of 1031431513200 in words is "one trillion, thirty-one billion, four hundred thirty-one million, five hundred thirteen thousand, two hundred".