1011111321 has 16 divisors (see below), whose sum is σ = 1510458048. Its totient is φ = 596232000.

The previous prime is 1011111319. The next prime is 1011111377. The reversal of 1011111321 is 1231111101.

It is not a de Polignac number, because 1011111321 - 2¹ = 1011111319 is a prime.

It is a super-2 number, since 2×1011111321² = 2044692206908730082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011111297 and 1011111306.

It is not an unprimeable number, because it can be changed into a prime (1011111301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412830 + ... + 415271.

It is an arithmetic number, because the mean of its divisors is an integer number (94403628).

Almost surely, 2^1011111321 is an apocalyptic number.

1011111321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011111321 is a deficient number, since it is larger than the sum of its proper divisors (499346727).

1011111321 is a wasteful number, since it uses less digits than its factorization.

1011111321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828152.

The product of its (nonzero) digits is 6, while the sum is 12.

The square root of 1011111321 is about 31797.9766809148. The cubic root of 1011111321 is about 1003.6901397853.

Adding to 1011111321 its reverse (1231111101), we get a palindrome (2242222422).

The spelling of 1011111321 in words is "one billion, eleven million, one hundred eleven thousand, three hundred twenty-one".