130000312002 has 64 divisors (see below), whose sum is σ = 294187655808. Its totient is φ = 37949760000.

The previous prime is 130000311983. The next prime is 130000312027. The reversal of 130000312002 is 200213000031.

It is a happy number.

It is a super-2 number, since 2×130000312002² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16899 + ... + 510182.

It is an arithmetic number, because the mean of its divisors is an integer number (4596682122).

Almost surely, 2^130000312002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130000312002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147093827904).

130000312002 is an abundant number, since it is smaller than the sum of its proper divisors (164187343806).

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

130000312002 is a wasteful number, since it uses less digits than its factorization.

130000312002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527235.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 130000312002 its reverse (200213000031), we get a palindrome (330213312033).

It can be divided in two parts, 13000031 and 2002, that multiplied together give a palindrome (26026062062).

The spelling of 130000312002 in words is "one hundred thirty billion, three hundred twelve thousand, two".