1312193645070 has 256 divisors, whose sum is σ = 4070188818432. Its totient is φ = 262813109760.

The previous prime is 1312193645047. The next prime is 1312193645071. The reversal of 1312193645070 is 705463912131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312193645071) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9073549 + ... + 9217031.

It is an arithmetic number, because the mean of its divisors is an integer number (15899175072).

Almost surely, 2^{1312193645070} is an apocalyptic number.

1312193645070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312193645070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035094409216).

1312193645070 is an abundant number, since it is smaller than the sum of its proper divisors (2757995173362).

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

1312193645070 is a wasteful number, since it uses less digits than its factorization.

1312193645070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143655.

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 1312193645070 in words is "one trillion, three hundred twelve billion, one hundred ninety-three million, six hundred forty-five thousand, seventy".