114331431041100 has 432 divisors, whose sum is σ = 441089274854592. Its totient is φ = 24121361848320.

The previous prime is 114331431041071. The next prime is 114331431041117. The reversal of 114331431041100 is 1140134133411.

114331431041100 is a `hidden beast` number, since 1 + 1 + 4 + 331 + 4 + 310 + 4 + 1 + 10 + 0 = 666.

It is a super-2 number, since 2×114331431041100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2539942194 + ... + 2539987206.

Almost surely, 2^{114331431041100} is an apocalyptic number.

114331431041100 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 114331431041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220544637427296).

114331431041100 is an abundant number, since it is smaller than the sum of its proper divisors (326757843813492).

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

114331431041100 is a wasteful number, since it uses less digits than its factorization.

114331431041100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76066 (or 76056 counting only the distinct ones).

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

Adding to 114331431041100 its reverse (1140134133411), we get a palindrome (115471565174511).

The spelling of 114331431041100 in words is "one hundred fourteen trillion, three hundred thirty-one billion, four hundred thirty-one million, forty-one thousand, one hundred".