1051128313000 has 64 divisors (see below), whose sum is σ = 2566581189120. Its totient is φ = 402170824000.

The previous prime is 1051128312989. The next prime is 1051128313019. The reversal of 1051128313000 is 3138211501.

It is a super-2 number, since 2×1051128313000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22827616 + ... + 22873615.

It is an arithmetic number, because the mean of its divisors is an integer number (40102831080).

Almost surely, 2^{1051128313000} is an apocalyptic number.

1051128313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1051128313000 is an abundant number, since it is smaller than the sum of its proper divisors (1515452876120).

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

1051128313000 is a wasteful number, since it uses less digits than its factorization.

1051128313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45701275 (or 45701261 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 1051128313000 in words is "one trillion, fifty-one billion, one hundred twenty-eight million, three hundred thirteen thousand".