1131010313004 has 576 divisors, whose sum is σ = 3713747304960. Its totient is φ = 297683942400.

The previous prime is 1131010313003. The next prime is 1131010313029. The reversal of 1131010313004 is 4003130101311.

1131010313004 is a `hidden beast` number, since 11 + 310 + 10 + 31 + 300 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1131010313003) 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, 276460999 + ... + 276465089.

It is an arithmetic number, because the mean of its divisors is an integer number (6447477960).

Almost surely, 2^{1131010313004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131010313004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856873652480).

1131010313004 is an abundant number, since it is smaller than the sum of its proper divisors (2582736991956).

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

1131010313004 is a wasteful number, since it uses less digits than its factorization.

1131010313004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1131010313004 its reverse (4003130101311), we get a palindrome (5134140414315).

The spelling of 1131010313004 in words is "one trillion, one hundred thirty-one billion, ten million, three hundred thirteen thousand, four".