1011011020311 has 16 divisors (see below), whose sum is σ = 1359003056000. Its totient is φ = 668529741600.

The previous prime is 1011011020303. The next prime is 1011011020319. The reversal of 1011011020311 is 1130201101101.

It is an interprime number because it is at equal distance from previous prime (1011011020303) and next prime (1011011020319).

It is not a de Polignac number, because 1011011020311 - 2³ = 1011011020303 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011011020319) 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, 1827640 + ... + 2315661.

It is an arithmetic number, because the mean of its divisors is an integer number (84937691000).

Almost surely, 2^{1011011020311} is an apocalyptic number.

1011011020311 is a deficient number, since it is larger than the sum of its proper divisors (347992035689).

1011011020311 is a wasteful number, since it uses less digits than its factorization.

1011011020311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4143966.

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

Adding to 1011011020311 its reverse (1130201101101), we get a palindrome (2141212121412).

The spelling of 1011011020311 in words is "one trillion, eleven billion, eleven million, twenty thousand, three hundred eleven".