1293130137600 has 1512 divisors, whose sum is σ = 5679420452160. Its totient is φ = 285380444160.

The previous prime is 1293130137599. The next prime is 1293130137641. The reversal of 1293130137600 is 67310313921.

1293130137600 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 1 + 30 + 13 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44590694386 + ... + 44590694414.

Almost surely, 2^{1293130137600} is an apocalyptic number.

1293130137600 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 1293130137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839710226080).

1293130137600 is an abundant number, since it is smaller than the sum of its proper divisors (4386290314560).

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

1293130137600 is an frugal number, since it uses more digits than its factorization.

1293130137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 1293130137600 in words is "one trillion, two hundred ninety-three billion, one hundred thirty million, one hundred thirty-seven thousand, six hundred".