1357311075000 has 384 divisors, whose sum is σ = 4658776819200. Its totient is φ = 327983040000.

The previous prime is 1357311074993. The next prime is 1357311075041. The reversal of 1357311075000 is 5701137531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32754294 + ... + 32795706.

It is an arithmetic number, because the mean of its divisors is an integer number (12132231300).

Almost surely, 2^{1357311075000} is an apocalyptic number.

1357311075000 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 1357311075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329388409600).

1357311075000 is an abundant number, since it is smaller than the sum of its proper divisors (3301465744200).

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

1357311075000 is a wasteful number, since it uses less digits than its factorization.

1357311075000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41489 (or 41465 counting only the distinct ones).

The product of its (nonzero) digits is 11025, while the sum is 33.

The spelling of 1357311075000 in words is "one trillion, three hundred fifty-seven billion, three hundred eleven million, seventy-five thousand".