2134414001331 has 24 divisors (see below), whose sum is σ = 3129460139520. Its totient is φ = 1401524576496.

The previous prime is 2134414001309. The next prime is 2134414001347. The reversal of 2134414001331 is 1331004144312.

2134414001331 is a `hidden beast` number, since 213 + 4 + 4 + 1 + 400 + 13 + 31 = 666.

It is not a de Polignac number, because 2134414001331 - 2¹⁹ = 2134413477043 is a prime.

It is a super-2 number, since 2×2134414001331² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2134414001295 and 2134414001304.

It is not an unprimeable number, because it can be changed into a prime (2134414001131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4551666 + ... + 4998648.

It is an arithmetic number, because the mean of its divisors is an integer number (130394172480).

Almost surely, 2^{2134414001331} is an apocalyptic number.

2134414001331 is a deficient number, since it is larger than the sum of its proper divisors (995046138189).

2134414001331 is a wasteful number, since it uses less digits than its factorization.

2134414001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454975 (or 454972 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2134414001331 its reverse (1331004144312), we get a palindrome (3465418145643).

The spelling of 2134414001331 in words is "two trillion, one hundred thirty-four billion, four hundred fourteen million, one thousand, three hundred thirty-one".