101331443200432 has 40 divisors (see below), whose sum is σ = 205228239472640. Its totient is φ = 48410693547840.

The previous prime is 101331443200423. The next prime is 101331443200439. The reversal of 101331443200432 is 234002344133101.

It is a super-2 number, since 2×101331443200432² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 101331443200394 and 101331443200403.

It is not an unprimeable number, because it can be changed into a prime (101331443200439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1292981478 + ... + 1293059845.

It is an arithmetic number, because the mean of its divisors is an integer number (5130705986816).

Almost surely, 2^{101331443200432} is an apocalyptic number.

It is an amenable number.

101331443200432 is an abundant number, since it is smaller than the sum of its proper divisors (103896796272208).

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

101331443200432 is a wasteful number, since it uses less digits than its factorization.

101331443200432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586041441 (or 2586041435 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 101331443200432 its reverse (234002344133101), we get a palindrome (335333787333533).

The spelling of 101331443200432 in words is "one hundred one trillion, three hundred thirty-one billion, four hundred forty-three million, two hundred thousand, four hundred thirty-two".