31143911132929 has 81 divisors (see below), whose sum is σ = 38614431297897. Its totient is φ = 25043917445568.

The previous prime is 31143911132923. The next prime is 31143911132933. The reversal of 31143911132929 is 92923111934113.

The square root of 31143911132929 is 5580673.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6628024505025 + 24515886627904 = 2574495^2 + 4951352^2 .

It is not a de Polignac number, because 31143911132929 - 2⁵ = 31143911132897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (31143911132923) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 41916434532 + ... + 41916435274.

Almost surely, 2^{31143911132929} is an apocalyptic number.

31143911132929 is the 5580673-rd square number.

31143911132929 is the 2790337-th centered octagonal number.

It is an amenable number.

31143911132929 is a deficient number, since it is larger than the sum of its proper divisors (7470520164968).

31143911132929 is an frugal number, since it uses more digits than its factorization.

31143911132929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 816 counting only the distinct ones).

The product of its digits is 314928, while the sum is 49.

31143911132929 divided by its sum of digits (49) gives a square (635590023121 = 797239²).

The spelling of 31143911132929 in words is "thirty-one trillion, one hundred forty-three billion, nine hundred eleven million, one hundred thirty-two thousand, nine hundred twenty-nine".