1033314114131 has 24 divisors (see below), whose sum is σ = 1130712986304. Its totient is φ = 943812461280.

The previous prime is 1033314114061. The next prime is 1033314114169. The reversal of 1033314114131 is 1314114133301.

It is not a de Polignac number, because 1033314114131 - 2³⁴ = 1016134244947 is a prime.

It is a super-2 number, since 2×1033314114131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1033314114131.

It is not an unprimeable number, because it can be changed into a prime (1033314114431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7614980 + ... + 7749486.

It is an arithmetic number, because the mean of its divisors is an integer number (47113041096).

Almost surely, 2^{1033314114131} is an apocalyptic number.

1033314114131 is a deficient number, since it is larger than the sum of its proper divisors (97398872173).

1033314114131 is a wasteful number, since it uses less digits than its factorization.

1033314114131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135011 (or 134998 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 1033314114131 its reverse (1314114133301), we get a palindrome (2347428247432).

The spelling of 1033314114131 in words is "one trillion, thirty-three billion, three hundred fourteen million, one hundred fourteen thousand, one hundred thirty-one".