1010020311 has 24 divisors (see below), whose sum is σ = 1489481136. Its totient is φ = 659293440.

The previous prime is 1010020289. The next prime is 1010020313. The reversal of 1010020311 is 1130200101.

It is not a de Polignac number, because 1010020311 - 2⁵ = 1010020279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1010020293 and 1010020302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010020313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266671 + ... + 270431.

It is an arithmetic number, because the mean of its divisors is an integer number (62061714).

Almost surely, 2^1010020311 is an apocalyptic number.

1010020311 is a deficient number, since it is larger than the sum of its proper divisors (479460825).

1010020311 is a wasteful number, since it uses less digits than its factorization.

1010020311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4383 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1010020311 is about 31780.8167138606. The cubic root of 1010020311 is about 1003.3290090676.

Adding to 1010020311 its reverse (1130200101), we get a palindrome (2140220412).

It can be divided in two parts, 1010020 and 311, that added together give a triangular number (1010331 = T₁₄₂₁).

The spelling of 1010020311 in words is "one billion, ten million, twenty thousand, three hundred eleven".