10031111220321 has 6 divisors (see below), whose sum is σ = 14489382873810. Its totient is φ = 6687407480208.

The previous prime is 10031111220287. The next prime is 10031111220349. The reversal of 10031111220321 is 12302211113001.

10031111220321 is a `hidden beast` number, since 1 + 0 + 0 + 311 + 1 + 12 + 20 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9724293824400 + 306817395921 = 3118380^2 + 553911^2 .

It is not a de Polignac number, because 10031111220321 - 2¹⁴ = 10031111203937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10031111220294 and 10031111220303.

It is not an unprimeable number, because it can be changed into a prime (10031111220371) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 557283956676 + ... + 557283956693.

It is an arithmetic number, because the mean of its divisors is an integer number (2414897145635).

Almost surely, 2^{10031111220321} is an apocalyptic number.

It is an amenable number.

10031111220321 is a deficient number, since it is larger than the sum of its proper divisors (4458271653489).

10031111220321 is a wasteful number, since it uses less digits than its factorization.

10031111220321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114567913375 (or 1114567913372 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10031111220321 its reverse (12302211113001), we get a palindrome (22333322333322).

The spelling of 10031111220321 in words is "ten trillion, thirty-one billion, one hundred eleven million, two hundred twenty thousand, three hundred twenty-one".