1011331032100 has 18 divisors (see below), whose sum is σ = 2194588339874. Its totient is φ = 404532412800.

The previous prime is 1011331032091. The next prime is 1011331032109. The reversal of 1011331032100 is 12301331101.

It is an interprime number because it is at equal distance from previous prime (1011331032091) and next prime (1011331032109).

It can be written as a sum of positive squares in 3 ways, for example, as 321198761536 + 690132270564 = 566744^2 + 830742^2 .

It is not an unprimeable number, because it can be changed into a prime (1011331032109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5056655061 + ... + 5056655260.

Almost surely, 2^{1011331032100} is an apocalyptic number.

1011331032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011331032100 is an abundant number, since it is smaller than the sum of its proper divisors (1183257307774).

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

1011331032100 is a wasteful number, since it uses less digits than its factorization.

1011331032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10113310335 (or 10113310328 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1011331032100 its reverse (12301331101), we get a palindrome (1023632363201).

The spelling of 1011331032100 in words is "one trillion, eleven billion, three hundred thirty-one million, thirty-two thousand, one hundred".