1313211121000 has 64 divisors (see below), whose sum is σ = 3253673713680. Its totient is φ = 494385356800.

The previous prime is 1313211120997. The next prime is 1313211121021. The reversal of 1313211121000 is 1211123131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 551071644964 + 762139476036 = 742342^2 + 873006^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38606857 + ... + 38640856.

Almost surely, 2^{1313211121000} is an apocalyptic number.

1313211121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313211121000 is an abundant number, since it is smaller than the sum of its proper divisors (1940462592680).

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

1313211121000 is a wasteful number, since it uses less digits than its factorization.

1313211121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77247751 (or 77247737 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1313211121000 its reverse (1211123131), we get a palindrome (1314422244131).

The spelling of 1313211121000 in words is "one trillion, three hundred thirteen billion, two hundred eleven million, one hundred twenty-one thousand".