1331002313130 has 128 divisors (see below), whose sum is σ = 3791548362240. Its totient is φ = 292680622080.

The previous prime is 1331002313119. The next prime is 1331002313141. The reversal of 1331002313130 is 313132001331.

It is an interprime number because it is at equal distance from previous prime (1331002313119) and next prime (1331002313141).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1331002313097 and 1331002313106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270831 + ... + 1653890.

It is an arithmetic number, because the mean of its divisors is an integer number (29621471580).

Almost surely, 2^{1331002313130} is an apocalyptic number.

1331002313130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331002313130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895774181120).

1331002313130 is an abundant number, since it is smaller than the sum of its proper divisors (2460546049110).

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

1331002313130 is a wasteful number, since it uses less digits than its factorization.

1331002313130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924864.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1331002313130 its reverse (313132001331), we get a palindrome (1644134314461).

The spelling of 1331002313130 in words is "one trillion, three hundred thirty-one billion, two million, three hundred thirteen thousand, one hundred thirty".