10313478621600 has 1152 divisors, whose sum is σ = 42774622248960. Its totient is φ = 2096285184000.

The previous prime is 10313478621581. The next prime is 10313478621631. The reversal of 10313478621600 is 612687431301.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2300572959 + ... + 2300577441.

It is an arithmetic number, because the mean of its divisors is an integer number (37130748480).

Almost surely, 2^{10313478621600} is an apocalyptic number.

10313478621600 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 10313478621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21387311124480).

10313478621600 is an abundant number, since it is smaller than the sum of its proper divisors (32461143627360).

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

10313478621600 is a wasteful number, since it uses less digits than its factorization.

10313478621600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4794 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 10313478621600 in words is "ten trillion, three hundred thirteen billion, four hundred seventy-eight million, six hundred twenty-one thousand, six hundred".