1306379312700 has 432 divisors, whose sum is σ = 4813854893568. Its totient is φ = 270480000000.

The previous prime is 1306379312683. The next prime is 1306379312767. The reversal of 1306379312700 is 72139736031.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45423325 + ... + 45452075.

It is an arithmetic number, because the mean of its divisors is an integer number (11143182624).

Almost surely, 2^{1306379312700} is an apocalyptic number.

1306379312700 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 1306379312700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406927446784).

1306379312700 is an abundant number, since it is smaller than the sum of its proper divisors (3507475580868).

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

1306379312700 is a wasteful number, since it uses less digits than its factorization.

1306379312700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29074 (or 29060 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 42.

The spelling of 1306379312700 in words is "one trillion, three hundred six billion, three hundred seventy-nine million, three hundred twelve thousand, seven hundred".