1311111420 has 48 divisors (see below), whose sum is σ = 3673410048. Its totient is φ = 349410880.

The previous prime is 1311111371. The next prime is 1311111433. The reversal of 1311111420 is 241111131.

It is a super-3 number, since 3×1311111420³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1311111420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104905 + ... + 116735.

It is an arithmetic number, because the mean of its divisors is an integer number (76529376).

Almost surely, 2^1311111420 is an apocalyptic number.

1311111420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311111420 is an abundant number, since it is smaller than the sum of its proper divisors (2362298628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311111420 is a wasteful number, since it uses less digits than its factorization.

1311111420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13690 (or 13688 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 1311111420 is about 36209.2725693295. The cubic root of 1311111420 is about 1094.4935336351.

Adding to 1311111420 its reverse (241111131), we get a palindrome (1552222551).

It can be divided in two parts, 13111 and 11420, that added together give a triangular number (24531 = T₂₂₁).

The spelling of 1311111420 in words is "one billion, three hundred eleven million, one hundred eleven thousand, four hundred twenty".