31141411113321 has 12 divisors (see below), whose sum is σ = 44985351557172. Its totient is φ = 20759411534976.

The previous prime is 31141411113233. The next prime is 31141411113409. The reversal of 31141411113321 is 12331111414113.

31141411113321 is a `hidden beast` number, since 3 + 1 + 1 + 414 + 111 + 133 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (31141411113233) and next prime (31141411113409).

It can be written as a sum of positive squares in 2 ways, for example, as 21141971841600 + 9999439271721 = 4598040^2 + 3162189^2 .

It is not a de Polignac number, because 31141411113321 - 2⁷ = 31141411113193 is a prime.

It is a super-2 number, since 2×31141411113321² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31141411113521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127304956 + ... + 127549341.

It is an arithmetic number, because the mean of its divisors is an integer number (3748779296431).

Almost surely, 2^{31141411113321} is an apocalyptic number.

It is an amenable number.

31141411113321 is a deficient number, since it is larger than the sum of its proper divisors (13843940443851).

31141411113321 is a wasteful number, since it uses less digits than its factorization.

31141411113321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254867880 (or 254867877 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

Adding to 31141411113321 its reverse (12331111414113), we get a palindrome (43472522527434).

The spelling of 31141411113321 in words is "thirty-one trillion, one hundred forty-one billion, four hundred eleven million, one hundred thirteen thousand, three hundred twenty-one".