1312014431000 has 192 divisors, whose sum is σ = 3799366534080. Its totient is φ = 415230566400.

The previous prime is 1312014430943. The next prime is 1312014431051. The reversal of 1312014431000 is 1344102131.

It is a super-2 number, since 2×1312014431000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628472 + ... + 1737528.

It is an arithmetic number, because the mean of its divisors is an integer number (19788367365).

Almost surely, 2^{1312014431000} is an apocalyptic number.

1312014431000 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 1312014431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899683267040).

1312014431000 is an abundant number, since it is smaller than the sum of its proper divisors (2487352103080).

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

1312014431000 is a wasteful number, since it uses less digits than its factorization.

1312014431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109111 (or 1109084 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1312014431000 its reverse (1344102131), we get a palindrome (1313358533131).

The spelling of 1312014431000 in words is "one trillion, three hundred twelve billion, fourteen million, four hundred thirty-one thousand".