1035131315200 has 132 divisors (see below), whose sum is σ = 2566704674752. Its totient is φ = 413918208000.

The previous prime is 1035131315177. The next prime is 1035131315201. The reversal of 1035131315200 is 25131315301.

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

It is not an unprimeable number, because it can be changed into a prime (1035131315201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126741517 + ... + 126749683.

Almost surely, 2^{1035131315200} is an apocalyptic number.

1035131315200 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 1035131315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283352337376).

1035131315200 is an abundant number, since it is smaller than the sum of its proper divisors (1531573359552).

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

1035131315200 is an equidigital number, since it uses as much as digits as its factorization.

1035131315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13148 (or 13125 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The spelling of 1035131315200 in words is "one trillion, thirty-five billion, one hundred thirty-one million, three hundred fifteen thousand, two hundred".