1310003201000 has 128 divisors (see below), whose sum is σ = 3342998131200. Its totient is φ = 477570412800.

The previous prime is 1310003200993. The next prime is 1310003201029. The reversal of 1310003201000 is 1023000131.

It is a super-2 number, since 2×1310003201000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389219 + ... + 1664781.

It is an arithmetic number, because the mean of its divisors is an integer number (26117172900).

Almost surely, 2^{1310003201000} is an apocalyptic number.

1310003201000 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 1310003201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671499065600).

1310003201000 is an abundant number, since it is smaller than the sum of its proper divisors (2032994930200).

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

1310003201000 is a wasteful number, since it uses less digits than its factorization.

1310003201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275676 (or 1275662 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 1310003201000 its reverse (1023000131), we get a palindrome (1311026201131).

The spelling of 1310003201000 in words is "one trillion, three hundred ten billion, three million, two hundred one thousand".