130013312001210 has 192 divisors, whose sum is σ = 378871850058624. Its totient is φ = 30655178611200.

The previous prime is 130013312001137. The next prime is 130013312001253. The reversal of 130013312001210 is 12100213310031.

130013312001210 is a `hidden beast` number, since 1 + 300 + 1 + 33 + 120 + 0 + 1 + 210 = 666.

It is a super-2 number, since 2×130013312001210² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98501820 + ... + 99813000.

It is an arithmetic number, because the mean of its divisors is an integer number (1973290885722).

Almost surely, 2^{130013312001210} is an apocalyptic number.

130013312001210 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 130013312001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189435925029312).

130013312001210 is an abundant number, since it is smaller than the sum of its proper divisors (248858538057414).

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

130013312001210 is a wasteful number, since it uses less digits than its factorization.

130013312001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313949 (or 1313946 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130013312001210 its reverse (12100213310031), we get a palindrome (142113525311241).

The spelling of 130013312001210 in words is "one hundred thirty trillion, thirteen billion, three hundred twelve million, one thousand, two hundred ten".