13101321021030 has 512 divisors, whose sum is σ = 39392580648960. Its totient is φ = 3071053440000.

The previous prime is 13101321021017. The next prime is 13101321021037. The reversal of 13101321021030 is 3012012310131.

13101321021030 is a `hidden beast` number, since 1 + 3 + 101 + 321 + 0 + 210 + 30 = 666.

It is a super-2 number, since 2×13101321021030² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13101321020994 and 13101321021012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101321021037) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10054735359 + ... + 10054736661.

It is an arithmetic number, because the mean of its divisors is an integer number (76938634080).

Almost surely, 2^{13101321021030} is an apocalyptic number.

13101321021030 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 13101321021030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19696290324480).

13101321021030 is an abundant number, since it is smaller than the sum of its proper divisors (26291259627930).

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

13101321021030 is a wasteful number, since it uses less digits than its factorization.

13101321021030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2099 counting only the distinct ones).

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

Adding to 13101321021030 its reverse (3012012310131), we get a palindrome (16113333331161).

The spelling of 13101321021030 in words is "thirteen trillion, one hundred one billion, three hundred twenty-one million, twenty-one thousand, thirty".