1131233122100 has 36 divisors (see below), whose sum is σ = 2464327588044. Its totient is φ = 450732564480.

The previous prime is 1131233122079. The next prime is 1131233122121. The reversal of 1131233122100 is 12213321311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1131233122079) and next prime (1131233122121).

It can be written as a sum of positive squares in 6 ways, for example, as 318858984976 + 812374137124 = 564676^2 + 901318^2 .

It is a super-2 number, since 2×1131233122100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21982727 + ... + 22034126.

Almost surely, 2^{1131233122100} is an apocalyptic number.

1131233122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131233122100 is an abundant number, since it is smaller than the sum of its proper divisors (1333094465944).

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

1131233122100 is a wasteful number, since it uses less digits than its factorization.

1131233122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44017124 (or 44017117 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1131233122100 its reverse (12213321311), we get a palindrome (1143446443411).

The spelling of 1131233122100 in words is "one trillion, one hundred thirty-one billion, two hundred thirty-three million, one hundred twenty-two thousand, one hundred".