11331131311032 has 192 divisors, whose sum is σ = 31540666308480. Its totient is φ = 3372114528000.

The previous prime is 11331131311007. The next prime is 11331131311057. The reversal of 11331131311032 is 23011313113311.

It is an interprime number because it is at equal distance from previous prime (11331131311007) and next prime (11331131311057).

It is a super-2 number, since 2×11331131311032² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11331131310993 and 11331131311011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 578965807 + ... + 578985377.

It is an arithmetic number, because the mean of its divisors is an integer number (164274303690).

Almost surely, 2^{11331131311032} is an apocalyptic number.

11331131311032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331131311032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15770333154240).

11331131311032 is an abundant number, since it is smaller than the sum of its proper divisors (20209534997448).

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

11331131311032 is a wasteful number, since it uses less digits than its factorization.

11331131311032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21586 (or 21551 counting only the distinct ones).

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

Adding to 11331131311032 its reverse (23011313113311), we get a palindrome (34342444424343).

The spelling of 11331131311032 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred eleven thousand, thirty-two".