1312121013000 has 512 divisors, whose sum is σ = 4977627033600. Its totient is φ = 280917504000.

The previous prime is 1312121012999. The next prime is 1312121013011. The reversal of 1312121013000 is 3101212131.

It is a happy number.

It is a super-2 number, since 2×1312121013000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75318291 + ... + 75335709.

It is an arithmetic number, because the mean of its divisors is an integer number (9721927800).

Almost surely, 2^{1312121013000} is an apocalyptic number.

1312121013000 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 1312121013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488813516800).

1312121013000 is an abundant number, since it is smaller than the sum of its proper divisors (3665506020600).

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

1312121013000 is a wasteful number, since it uses less digits than its factorization.

1312121013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17678 (or 17664 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1312121013000 its reverse (3101212131), we get a palindrome (1315222225131).

The spelling of 1312121013000 in words is "one trillion, three hundred twelve billion, one hundred twenty-one million, thirteen thousand".