1311036090 has 384 divisors, whose sum is σ = 4303176192. Its totient is φ = 249200640.

The previous prime is 1311036061. The next prime is 1311036091. The reversal of 1311036090 is 906301131.

It is a self number, because there is not a number n which added to its sum of digits gives 1311036090.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311036091) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24736504 + ... + 24736556.

It is an arithmetic number, because the mean of its divisors is an integer number (11206188).

Almost surely, 2^1311036090 is an apocalyptic number.

1311036090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311036090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151588096).

1311036090 is an abundant number, since it is smaller than the sum of its proper divisors (2992140102).

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

1311036090 is a wasteful number, since it uses less digits than its factorization.

1311036090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 1311036090 is about 36208.2323512209. The cubic root of 1311036090 is about 1094.4725718324.

The spelling of 1311036090 in words is "one billion, three hundred eleven million, thirty-six thousand, ninety".