101432012331141 has 96 divisors (see below), whose sum is σ = 151688291089920. Its totient is φ = 65284409548800.

The previous prime is 101432012331119. The next prime is 101432012331269. The reversal of 101432012331141 is 141133210234101.

101432012331141 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 320 + 1 + 2 + 331 + 1 + 4 + 1 = 666.

It is not a de Polignac number, because 101432012331141 - 2⁵ = 101432012331109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101432012331841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14958264171 + ... + 14958270951.

It is an arithmetic number, because the mean of its divisors is an integer number (1580086365520).

Almost surely, 2^{101432012331141} is an apocalyptic number.

It is an amenable number.

101432012331141 is a deficient number, since it is larger than the sum of its proper divisors (50256278758779).

101432012331141 is a wasteful number, since it uses less digits than its factorization.

101432012331141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8907 (or 8904 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 101432012331141 its reverse (141133210234101), we get a palindrome (242565222565242).

The spelling of 101432012331141 in words is "one hundred one trillion, four hundred thirty-two billion, twelve million, three hundred thirty-one thousand, one hundred forty-one".