2100440434131 has 32 divisors (see below), whose sum is σ = 3432864939840. Its totient is φ = 1261052409600.

The previous prime is 2100440434129. The next prime is 2100440434219. The reversal of 2100440434131 is 1314340440012.

2100440434131 is a `hidden beast` number, since 210 + 0 + 4 + 4 + 0 + 434 + 13 + 1 = 666.

It is not a de Polignac number, because 2100440434131 - 2¹ = 2100440434129 is a prime.

It is a super-2 number, since 2×2100440434131² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2100440434095 and 2100440434104.

It is not an unprimeable number, because it can be changed into a prime (2100440434121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72963180 + ... + 72991961.

It is an arithmetic number, because the mean of its divisors is an integer number (107277029370).

Almost surely, 2^{2100440434131} is an apocalyptic number.

2100440434131 is a deficient number, since it is larger than the sum of its proper divisors (1332424505709).

2100440434131 is a wasteful number, since it uses less digits than its factorization.

2100440434131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145955204 (or 145955198 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2100440434131 its reverse (1314340440012), we get a palindrome (3414780874143).

The spelling of 2100440434131 in words is "two trillion, one hundred billion, four hundred forty million, four hundred thirty-four thousand, one hundred thirty-one".