1310133207000 has 128 divisors (see below), whose sum is σ = 4089651171840. Its totient is φ = 349194876800.

The previous prime is 1310133206989. The next prime is 1310133207007. The reversal of 1310133207000 is 7023310131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310133207007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5973277 + ... + 6188723.

It is an arithmetic number, because the mean of its divisors is an integer number (31950399780).

Almost surely, 2^{1310133207000} is an apocalyptic number.

1310133207000 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 1310133207000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044825585920).

1310133207000 is an abundant number, since it is smaller than the sum of its proper divisors (2779517964840).

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

1310133207000 is a wasteful number, since it uses less digits than its factorization.

1310133207000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217498 (or 217484 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

Adding to 1310133207000 its reverse (7023310131), we get a palindrome (1317156517131).

The spelling of 1310133207000 in words is "one trillion, three hundred ten billion, one hundred thirty-three million, two hundred seven thousand".