2126352205131 has 64 divisors (see below), whose sum is σ = 3660448859136. Its totient is φ = 1065990182400.

The previous prime is 2126352205121. The next prime is 2126352205147. The reversal of 2126352205131 is 1315022536212.

It is not a de Polignac number, because 2126352205131 - 2¹⁸ = 2126351942987 is a prime.

It is a super-2 number, since 2×2126352205131² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2126352205092 and 2126352205101.

It is not an unprimeable number, because it can be changed into a prime (2126352205121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 676776 + ... + 2170421.

It is an arithmetic number, because the mean of its divisors is an integer number (57194513424).

Almost surely, 2^{2126352205131} is an apocalyptic number.

2126352205131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2126352205131 is a deficient number, since it is larger than the sum of its proper divisors (1534096654005).

2126352205131 is a wasteful number, since it uses less digits than its factorization.

2126352205131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847332.

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 2126352205131 in words is "two trillion, one hundred twenty-six billion, three hundred fifty-two million, two hundred five thousand, one hundred thirty-one".