2134355540031 has 48 divisors (see below), whose sum is σ = 3622118965920. Its totient is φ = 1193984962560.

The previous prime is 2134355540003. The next prime is 2134355540039. The reversal of 2134355540031 is 1300455534312.

2134355540031 is a `hidden beast` number, since 2 + 1 + 34 + 3 + 55 + 540 + 0 + 31 = 666.

It is not a de Polignac number, because 2134355540031 - 2⁵ = 2134355539999 is a prime.

It is a super-2 number, since 2×2134355540031² (a number of 25 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134355540039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41942355 + ... + 41993211.

It is an arithmetic number, because the mean of its divisors is an integer number (75460811790).

Almost surely, 2^{2134355540031} is an apocalyptic number.

2134355540031 is a deficient number, since it is larger than the sum of its proper divisors (1487763425889).

2134355540031 is a wasteful number, since it uses less digits than its factorization.

2134355540031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83496 (or 83493 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 2134355540031 in words is "two trillion, one hundred thirty-four billion, three hundred fifty-five million, five hundred forty thousand, thirty-one".