13131101101020 has 192 divisors, whose sum is σ = 42093063075840. Its totient is φ = 2996146050048.

The previous prime is 13131101100983. The next prime is 13131101101051. The reversal of 13131101101020 is 2010110113131.

It is a super-2 number, since 2×13131101101020² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658950297 + ... + 658970223.

It is an arithmetic number, because the mean of its divisors is an integer number (219234703520).

Almost surely, 2^{13131101101020} is an apocalyptic number.

13131101101020 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 13131101101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21046531537920).

13131101101020 is an abundant number, since it is smaller than the sum of its proper divisors (28961961974820).

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

13131101101020 is a wasteful number, since it uses less digits than its factorization.

13131101101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22612 (or 22610 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 13131101101020 its reverse (2010110113131), we get a palindrome (15141211214151).

The spelling of 13131101101020 in words is "thirteen trillion, one hundred thirty-one billion, one hundred one million, one hundred one thousand, twenty".