132100103312320 has 224 divisors, whose sum is σ = 371029338118656. Its totient is φ = 44164631040000.

The previous prime is 132100103312311. The next prime is 132100103312327. The reversal of 132100103312320 is 23213301001231.

It is a super-4 number, since 4×132100103312320⁴ (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 132100103312291 and 132100103312300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132100103312327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5735157 + ... + 17236363.

It is an arithmetic number, because the mean of its divisors is an integer number (1656380973744).

Almost surely, 2^{132100103312320} is an apocalyptic number.

132100103312320 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 132100103312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185514669059328).

132100103312320 is an abundant number, since it is smaller than the sum of its proper divisors (238929234806336).

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

132100103312320 is a wasteful number, since it uses less digits than its factorization.

132100103312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11501499 (or 11501489 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 132100103312320 its reverse (23213301001231), we get a palindrome (155313404313551).

The spelling of 132100103312320 in words is "one hundred thirty-two trillion, one hundred billion, one hundred three million, three hundred twelve thousand, three hundred twenty".