132101100003120 has 320 divisors, whose sum is σ = 434138567353344. Its totient is φ = 33113819381760.

The previous prime is 132101100003113. The next prime is 132101100003121. The reversal of 132101100003120 is 21300001101231.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132101100003120.

It is not an unprimeable number, because it can be changed into a prime (132101100003121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13075427989 + ... + 13075438091.

Almost surely, 2^{132101100003120} is an apocalyptic number.

132101100003120 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 132101100003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217069283676672).

132101100003120 is an abundant number, since it is smaller than the sum of its proper divisors (302037467350224).

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

132101100003120 is a wasteful number, since it uses less digits than its factorization.

132101100003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13780 (or 13774 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 132101100003120 its reverse (21300001101231), we get a palindrome (153401101104351).

The spelling of 132101100003120 in words is "one hundred thirty-two trillion, one hundred one billion, one hundred million, three thousand, one hundred twenty".