130012211313020 has 192 divisors, whose sum is σ = 305990681149440. Its totient is φ = 46166081740800.

The previous prime is 130012211312999. The next prime is 130012211313041. The reversal of 130012211313020 is 20313112210031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130012211312999) and next prime (130012211313041).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130012211312983 and 130012211313001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 440203037 + ... + 440498283.

It is an arithmetic number, because the mean of its divisors is an integer number (1593701464320).

Almost surely, 2^{130012211313020} is an apocalyptic number.

130012211313020 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 130012211313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152995340574720).

130012211313020 is an abundant number, since it is smaller than the sum of its proper divisors (175978469836420).

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

130012211313020 is a wasteful number, since it uses less digits than its factorization.

130012211313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296364 (or 296362 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 130012211313020 its reverse (20313112210031), we get a palindrome (150325323523051).

The spelling of 130012211313020 in words is "one hundred thirty trillion, twelve billion, two hundred eleven million, three hundred thirteen thousand, twenty".