1312213210000 has 800 divisors, whose sum is σ = 4096640655360. Its totient is φ = 395232000000.

The previous prime is 1312213209973. The next prime is 1312213210019. The reversal of 1312213210000 is 123122131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3655189821 + ... + 3655190179.

Almost surely, 2^{1312213210000} is an apocalyptic number.

1312213210000 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 1312213210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048320327680).

1312213210000 is an abundant number, since it is smaller than the sum of its proper divisors (2784427445360).

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

1312213210000 is a wasteful number, since it uses less digits than its factorization.

1312213210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1312213210000 its reverse (123122131), we get a palindrome (1312336332131).

The spelling of 1312213210000 in words is "one trillion, three hundred twelve billion, two hundred thirteen million, two hundred ten thousand".